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1020222720 = 28325118397
BaseRepresentation
bin111100110011110…
…101110100000000
32122002201200110200
4330303311310000
54042134111340
6245122525200
734165515156
oct7463656400
92562650420
101020222720
11483986480
12245806800
1313349aaaa
14996d33d6
155e878330
hex3ccf5d00

1020222720 has 432 divisors, whose sum is σ = 3937332672. Its totient is φ = 241827840.

The previous prime is 1020222701. The next prime is 1020222737. The reversal of 1020222720 is 272220201.

It is a happy number.

1020222720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 1020222693 and 1020222702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10517712 + ... + 10517808.

It is an arithmetic number, because the mean of its divisors is an integer number (9114196).

Almost surely, 21020222720 is an apocalyptic number.

1020222720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968666336).

1020222720 is an abundant number, since it is smaller than the sum of its proper divisors (2917109952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020222720 is a wasteful number, since it uses less digits than its factorization.

1020222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1020222720 is about 31940.9254718770. The cubic root of 1020222720 is about 1006.6959705712.

Adding to 1020222720 its reverse (272220201), we get a palindrome (1292442921).

The spelling of 1020222720 in words is "one billion, twenty million, two hundred twenty-two thousand, seven hundred twenty".